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Finding the Fourth Proportional to 833.44, 1,148.88 and 570.64

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Solution

The fourth proportional to 833.44, 1,148.88 and 570.64 is: 786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.44 : 1,148.88 = 570.64 : x
  2. Step 2: Convert to fraction form
    833.44/1,148.88 = 570.64/x
  3. Step 3: Cross multiply
    833.44x = 1,148.88 × 570.64
  4. Step 4: Simplify right side
    833.44x = 655,596.88
  5. Step 5: Solve for x
    x = 655,596.88/833.44
  6. Step 6: Final answer
    x = 786.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.